Answer
172
Work Step by Step
We find the apothem, which is part of a 30-60-90 triangle with half of a side of the base:
$a = 3\sqrt3$
We first find the height of each of the triangles:
$h = \sqrt{8^2 + (3\sqrt3)^2} =\sqrt{91}=9.54$
Thus, we find lateral area:
$A = (1/2)(9.54)(6)(6) = 172$
